(18a^2-6a+16)*(3a-1)=

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Solution for (18a^2-6a+16)*(3a-1)= equation: 


Simplifying
(18a2 + -6a + 16)(3a + -1) = 0

Reorder the terms:
(16 + -6a + 18a2)(3a + -1) = 0

Reorder the terms:
(16 + -6a + 18a2)(-1 + 3a) = 0

Multiply (16 + -6a + 18a2) * (-1 + 3a)
(16(-1 + 3a) + -6a * (-1 + 3a) + 18a2 * (-1 + 3a)) = 0
((-1 * 16 + 3a * 16) + -6a * (-1 + 3a) + 18a2 * (-1 + 3a)) = 0
((-16 + 48a) + -6a * (-1 + 3a) + 18a2 * (-1 + 3a)) = 0
(-16 + 48a + (-1 * -6a + 3a * -6a) + 18a2 * (-1 + 3a)) = 0
(-16 + 48a + (6a + -18a2) + 18a2 * (-1 + 3a)) = 0
(-16 + 48a + 6a + -18a2 + (-1 * 18a2 + 3a * 18a2)) = 0
(-16 + 48a + 6a + -18a2 + (-18a2 + 54a3)) = 0

Combine like terms: 48a + 6a = 54a
(-16 + 54a + -18a2 + -18a2 + 54a3) = 0

Combine like terms: -18a2 + -18a2 = -36a2
(-16 + 54a + -36a2 + 54a3) = 0

Solving
-16 + 54a + -36a2 + 54a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 27a + -18a2 + 27a3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + 27a + -18a2 + 27a3)' equal to zero and attempt to solve:

Simplifying
-8 + 27a + -18a2 + 27a3 = 0

Solving
-8 + 27a + -18a2 + 27a3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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